Respuesta :

Using two triangle concepts, it is found that the solution for y is of y = 70º.

What are the two triangle concepts used in this problem?

  • The sum of the internal angles of a triangle is of 180º.
  • The sum of an angle with it's external angle is also of 180º.

Hence:

  • x + y + 70 = 180.
  • y + 3x - 10 = 180 -> y = 190 - 3x.

Then:

x + y + 70 = 180

x + 190 - 3x + 70 = 180.

2x = 80.

x = 40.

Hence:

y = 190 - 3x = 190 - 3(40) = 70º.

More can be learned about the sum of the angles of a triangle https://brainly.com/question/13387714

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